C. Nonino et G. Croce, AN EQUAL-ORDER VELOCITY-PRESSURE ALGORITHM FOR INCOMPRESSIBLE THERMAL-FLOWS .2. VALIDATION, Numerical heat transfer. Part B, Fundamentals, 32(1), 1997, pp. 17-35
The finite-element algorithm for the solution of two- and three-dimens
ional incompressible laminar thermal flaws described in Part 1 of the
article is validated by detailed computational experiments carried out
for three typical benchmark problems: flow in lid-driven cavities, na
tural convection in heated cavities, and stratified flow over backward
-facing steps. The numerical simulations concern different values of R
eynolds or Rayleigh numbers. Both two- and three-dimensional simulatio
ns are carried out for each problem. The results, obtained without emp
loying any upwinding techniques, compare very satisfactorily with the
available literature data, thus confirming, in all cases, the reliabil
ity of the procedure. Moreover, in spite of the use of equal-order ele
ments for velocity and pressure approximations, the calculated pressur
e fields never show any sign of checker-boarding.